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V-Order: New combinatorial properties & a simple comparison algorithm
Journal article   Peer reviewed

V-Order: New combinatorial properties & a simple comparison algorithm

A. Alatabbi, J.W. Daykin, J. Kärkkäinen, M. Sohel Rahman and W.F. Smyth
Discrete Applied Mathematics, Vol.215, pp.41-46
2016
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Abstract

V-order is a global order on strings related to Unique Maximal Factorization Families (UMFFs), themselves generalizations of Lyndon words. VV-order has recently been proposed as an alternative to lexicographic order in the computation of suffix arrays and in the suffix-sorting induced by the Burrows–Wheeler transform. Efficient VV-ordering of strings thus becomes a matter of considerable interest. In this paper we discover several new combinatorial properties of VV-order, then explore the computational consequences; in particular, a fast, simple on-line VV-order comparison algorithm that requires no auxiliary data structures.

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Collaboration types
Domestic collaboration
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Citation topics
4 Electrical Engineering, Electronics & Computer Science
4.182 Data Structures, Algorithms & Complexity
4.182.1103 Efficient Algorithms
Web Of Science research areas
Mathematics, Applied
ESI research areas
Engineering
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